Explore topic-wise MCQs in Maths.

This section includes 151 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.

101.

If an equilateral triangle is inscribed in a circle of area 48 square units, then the perimeter of the triangle is:

A. 72 units
B. 36 units
C. 48 units
D. $${48}{ sqrt{3}}$$ units
Answer» C. 48 units
102.

Find the area of a white sheet required to prepare a cone with a height of 21cm and the radius of 20cm.

A. $$ {3080}cm^2$$
B. $$ {2300}cm^2$$
C. $$ {3460}cm^2$$
D. $$ {3600}cm^2$$
Answer» B. $$ {2300}cm^2$$
103.

A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?

A. 53500
B. 49500
C. 51500
D. 52500
Answer» E.
104.

One side of the rectangular ground is 8m and its diagonal is 17m. Find the area of the ground?

A. 150 m
B. 140 m
C. 130 m
D. 120 m
Answer» E.
105.

A square pyramid with side 10 cm has a volume of 400 cm3. Find the total surface area of the pyramid.

A. 240 cm2
B. 300 cm2
C. 420 cm2
D. 360 cm2
Answer» E.
106.

The length of a rectangle is 6 cm more than its width and its perimeter is 100 cm. If the area of this rectangle is closest to the area of a circle, then what is the circumference of that circle?

A. 110 cm
B. 132 cm
C. 66 cm
D. 88 cm
Answer» E.
107.

The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm2 , then what will be the volume of prism?

A. 950 cm3
B. 970 cm3
C. 960 cm3
D. 940 cm3
Answer» D. 940 cm3
108.

The area of a circle is 616 sq cm, nd its circumference?

A. 44 cm
B. 88 cm
C. 22 cm
D. 176 cm
Answer» C. 22 cm
109.

The length of a hollow thick cylindrical metallic pipe is 6 cm and its total surface area including the surface at the ends is 98 sq. cm. If the outer diameter is 8 cm, then the inner diameter in cm is

A. 6.5
B. 7
C. 5
D. 6
Answer» E.
110.

An open box is made of wood 3 cm thick. Its external dimensions are 1.36 m, 1.06 m and 8.3 dm. The cost of painting the inner surface of the box at 50 paise per 100 sq. cm (in Rs.) is

A. 232
B. 246
C. 249
D. 256
Answer» D. 256
111.

A spherical ball of lead 3 cm in diameter is melted and recast into three spherical balls The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is

A. 1.4 cm
B. 1.8 cm
C. 2.1 cm
D. 2.5 cm
Answer» E.
112.

The total surface area of a hemisphere is 166.32 sq cm, nd its radius?

A. 4.2 cm
B. 8.4 cm
C. 1.4 cm
D. 2.1 cm
Answer» B. 8.4 cm
113.

A solid sphere of diameter 17.5 cm is cut into two equal halves. What will be the increase (in cm2) in the total surface area?

A. 289
B. 616
C. 962.56
D. 481.056
Answer» E.
114.

The total Surface area of a solid hemisphere is 1039.5 cm2. The volume ( in cm3) of the hemisphere is: (Take =22/7)

A. 2425.5
B. 2530.6
C. 2525.6
D. 2225.5
Answer» B. 2530.6
115.

From a solid cylinder whose height is 12 cm and diameter 10 cm a conical cavity of same height and same diameter of the base is hollowed out. The volume of the remaining solid is (cm3)approximately . =22/7

A. 942.86
B. 477.45
C. 628.57
D. 450.76
Answer» D. 450.76
116.

A right circular cylinder is formed by rolling a rectangular sheet of metal of length 44 cm and breath 20 cm along its length. The volume of cylinder is_

A. 3080
B. 4090
C. 4095
D. 5000
Answer» B. 4090
117.

The covered surface area of a cone of radius 8 cm and height 6 cm is double the covered surface area of a cylinder of radius 4 cm. Find the height of the cylinder?

A. 5 cm
B. 8 cm
C. 10 cm
D. 12 cm
Answer» B. 8 cm
118.

Sides of a triangle are 13 cm, 84 cm and 85 cm. Find its area(in square cm)?

A. 546
B. 550
C. 555
D. 558
Answer» B. 550
119.

The ratio of curved surface area and volume of a cylinder is 1 : 7. The ratio of total surface area and volume is 187 : 770. What is the respective ratio of its base radius and height?

A. 7:15
B. 8:7
C. 7:10
D. 7:12
Answer» D. 7:12
120.

A circle and a rectangle have the same perimeter. The sides of rectangle are 18 cm and 26 cm then find out the area of circle?

A. $$ {230cm^2}$$
B. $$ {320cm^2}$$
C. $$ {616cm^2}$$
D. $$ {154cm^2}$$
Answer» D. $$ {154cm^2}$$
121.

The base of a right circular cone has the same radius a as that of a sphere. Both the sphere and the Cone have the same volume. Height of the cone is:

A. 3a
B. $$ {7 over4}a$$
C. $$ {7 over3}a$$
D. 4a
Answer» E.
122.

A solid metallic sphere of radius x cm is melted and then drawn into 126 cones each of radius 3.5 cm and height 3 cm. There is no wastage of material in this process. What is the value of x?

A. 10.5
B. 3.5
C. 7
D. 21
Answer» B. 3.5
123.

A circular park whose diameter is 210 m has a 5 m wide path running around it(on the outside). What is the area ( in m2) of the path?

A. 1020
B. 1075
C. 1050
D. 1100
Answer» C. 1050
124.

A semicircle is folded to make a cone. Find the height (in cm) of the cone if diameter of the semicircle is 28 cm?

A. $$ {7 sqrt{3}}$$
B. $$ {14 sqrt{3}}$$
C. $$ {7 sqrt{5}}$$
D. $$ {7 sqrt{13}}$$
Answer» B. $$ {14 sqrt{3}}$$
125.

What is the area of the largest triangle that can be fitted into a rectangle of length 'l' units and width 'w' units?

A. $$ {lw over3}$$
B. $$ {2lw over3}$$
C. $$ {3lw over3}$$
D. $$ {lw over2}$$
Answer» E.
126.

50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is $$ {4 m^{3}}$$ , then the rise in the water level in the tank will be:

A. 20 cm
B. 50 cm
C. 35 cm
D. 25 cm
Answer» E.
127.

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

A. 3 : 7
B. 7 : 3
C. 6 : 7
D. 7 : 6
Answer» C. 6 : 7
128.

The ratio between the length and breadth of a rectangular park is 3: 2. If a man cycling along the boundary of the park at the speed of 12 Km./hr. completes one round in 8 min, then the area of the park in sq.m is

A. 15360
B. 30720
C. 153600
D. 307200
Answer» D. 307200
129.

There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres) of the path?

A. 500.50
B. 575.60
C. 521.20
D. 560.70
Answer» B. 575.60
130.

What is the area ( in cm2 ) of the circumcircle of a triangle whose sides are 6 cm , 8 cm and 10 cm respectively ?

A. $$ {275 over 7}$$
B. $$ {2200 over 7}$$
C. $$ {550 over 7}$$
D. $$ {1100 over 7}$$
Answer» D. $$ {1100 over 7}$$
131.

Smallest side of a right angled triangle is 13 cm less than the side of a square of perimeter 72 cm. Second largest side of the right angled triangle is 2 cm less than the length of the rectangle of area 112 cm and breadth 8 cm. What is the largest side of the right angled triangle?

A. 20 cm
B. 12 cm
C. 10 cm
D. 13 cm
E. None of these
Answer» E. None of these
132.

A rectangular ground 16m long and 10m breadth. It has a gravel path 2.5m wide all around it on the outside. What is the area of the path?

A. 159 m
B. 155 m
C. 187 m
D. 183 m
E. None of the Above
Answer» C. 187 m
133.

The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles?

A. 4 : 7
B. 3 : 8
C. 4 : 5
D. 5 : 9
Answer» C. 4 : 5
134.

The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is $$ {18 sqrt{3}}$$ sq.cm. What is the area (in cm2) of the equilateral triangle ?

A. $$ {54 sqrt{2}}$$
B. $$ {27 sqrt{2}}$$
C. 54
D. 27
Answer» E.
135.

The diagonal of a square is 14 cm. What will be the length of the diagonal of the square whose area is double of the area of first square?

A. $$ {28 sqrt{2}{ cm}}$$
B. $$ {14 sqrt{2}{ cm}}$$
C. 28
D. $$ {21 sqrt{2}{ cm}}$$
Answer» C. 28
136.

What will be the area (cm2) of the curved surface of an elliptical cylinder whose height and diameter are 10 cm and 8 cm respectively?

A. 20
B. 80
C. 160
D. 40
Answer» C. 160
137.

The area of trapezium is 21 square cm, the distance between the parallel sides is 3 cm and one of the parallel sides is 8.3 cm. What is the length of the other parallel side ?

A. 12.7 cm
B. 7.7 cm
C. 10.7 cm
D. 5.7 cm
Answer» E.
138.

The volume of a sphere and an elliptical cylinder are the same. The radius of the sphere and cylinder are 21 cm and 14 cm respectively. What is the height of the cylinder?

A. 63 cm
B. 56 cm
C. 42 cm
D. 49 cm
Answer» B. 56 cm
139.

What is the volume of a cube whose side is 7.5 cm?

A. 421.875 cm3
B. 759.375 cm3
C. 631.81 cm3
D. 210.94 cm3
Answer» B. 759.375 cm3
140.

PQRS is a parallelogram, Angle SPQ=60 Degree, QR=40 cm and PQ=10 cm, then find the area of the parallelogram.

A. 100 3 sq.cm
B. 200 3 sq.cm
C. 100 sq.cm
D. 500 sq.cm
Answer» C. 100 sq.cm
141.

The cost of fencing a circular plot at the rate of Rs.15 per meters Rs. 3,300. What will be the cost of flooring the plot at the rate a Rs . 100 per square meter?

A. Rs. 3,85,000
B. Rs. 2,20,000
C. Rs. 3,50,000
D. Cannot be determined
E. None of these
Answer» B. Rs. 2,20,000
142.

What is total surface area of a cone where, r is radius and l is slant height?

A. r (l + r)
B. 2 r (l+r)
C. rl
D. $$ 2 rl^2$$
Answer» B. 2 r (l+r)
143.

What is the total CSA of cone whose radius is 3 cm and height is 4 cm?

A. $$ { 24 cm^2}$$
B. $$ { 25 cm^2}$$
C. $$ { 28 cm^2}$$
D. $$ { 20 cm^2}$$
E. None of these
Answer» B. $$ { 25 cm^2}$$
144.

If each edge of a cube is reduced by 25 percent, find the ratio of the volume of the original cube and the resulting cube?

A. 8:1
B. 27:64
C. 64:1
D. 64:27
Answer» D. 64:27
145.

A right triangle with sides 5 cm, 12 cm and 13 cm is rotated about the side 12 cm to from a cone. The volume of the cone so formed is :

A. $$ {81 cm^{3}}$$
B. $$ {100 cm^{3}}$$
C. $$ {91 cm^{3}}$$
D. $$ {110 cm^{3}}$$
Answer» C. $$ {91 cm^{3}}$$
146.

A square and an equilateral triangle are of the same perimeter. If the diagonal of the square is $$ {12 sqrt{2}}$$ cm long, then the area of the triangle is.

A. $$ {32 sqrt{3}}$$
B. $$ {64 sqrt{3}}$$
C. $$ {64 sqrt{2}}$$
D. $$ {48 sqrt{3}}$$
Answer» C. $$ {64 sqrt{2}}$$
147.

The difference of the circumference and radius of a circle is 37 cm. Area of the circle is

A. 150 sq.cm
B. 84 sq.cm
C. 77 sq.cm
D. 154 sq.cm
Answer» E.
148.

The diameter of a wheel is 14 cm. How many rotations will it take to cover a distance of 44 kilometres?

A. 44,000
B. 88,000
C. 70,000
D. 100000
Answer» E.
149.

A wire of length 60 m is used to enclose a field which is in the shape of a right - angled triangle. The area of the field is 150 m2 then, the largest side of the field has a length of:

A. 30 meter
B. 20 meter
C. 25 meter
D. 15 meter
Answer» D. 15 meter
150.

Sum of volume of cylinder (S) and volume off cone (C) is 2190 cm & height of both cylinder and cone is same i.e, 10 cm. If radius of cone is 15 cm then find the ratio of radius of S to radius of C?

A. 1 : 2
B. 3 : 4
C. 2 : 5
D. 4 : 5
E. 3 : 5
Answer» E. 3 : 5